Solution to time fractional couette flow

Abstract

In this study, the Couette flow of a second grade fluid is discussed in a porous layer when the bottom plate moves suddenly. The Laplace transform method is implemented to derive the analytical solution.The main object of this paper is to demonstrate how we can make significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining theory of special functions and operational methods. In this article, it has been shown that the combined use of integral transforms and exponential operators methods provides a powerful tool to solve certain system of KdV. Constructive examples are also provided.